The f-stops are the same for any lens. Still, a metering problem can occur when you change lenses with different focal lengths, because different focal lengths see different things – ex: a 24mm in landscape sees usually much more sky than a 200mm pointed on a detail of that same landscape. If you meter handheld, you should check the light-meter’s manual to see the metering angle. If the lens has an angle close to the light-meter’s one, than the latest works like an on-camera light-meter in average metering mode (not spot, nor center-weighted). This is why the handheld light-meters are mostly used for close-to-subject metering, with some interpretation by the zone system – ex: metering for zone 3 than underexposing 2 stops, or metering on the back of your hand for the zone your skin belongs to (roughly: Caucasian=z6, Asian=z5, African=z4) and making the exposure correction if needed, etc. Incident metering is also a reliable option.
Also, you should visually check the aperture blades of your lenses: if there are any traces of oil on these blades, the aperture might not work as it should (does not open or close fast enough between the moment you depress the shutter button and the moment the camera releases the shutter blades/curtain). If there is the case, your lenses need a deep cleaning.